{
  "id": "0811.3922",
  "version": "v1",
  "published": "2008-11-24T16:45:15.000Z",
  "updated": "2008-11-24T16:45:15.000Z",
  "title": "Theta Correspondence for U(1,1) and U(2)",
  "authors": [
    "Jitka Stehnova"
  ],
  "comment": "17 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this paper, we parametrize certain irreducible supercuspidal representations of U(1,1) and U(2) via explicit induction data. The parametrization depends on traceless elements of negative valuation in a quadratic extension of base field. We use the lattice model of the Weil representation to determine which traceless elements are involved in the theta correspondence for reductive dual pair U(1,1) and U(2).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-24T16:45:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F27",
      "11F70"
    ],
    "keywords": [
      "theta correspondence",
      "explicit induction data",
      "traceless elements",
      "parametrization depends",
      "irreducible supercuspidal representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3922S"
    }
  }
}